Summary: Vol. 59 (2007) REPORTS ON MATHEMATICAL PHYSICS No. 3
ON THE DYNAMICS CREATED BY A TIME-DEPENDENT
CPT-CNRS, Luminy Case 907, F-13288 Marseille Cedex 9, France
P. STOV´I CEK
Faculty of Nuclear Science, Czech Technical University,
Trojanova 13, 120 00 Prague, Czech Republic
(Received September 18, 2006)
We study the dynamics of classical and quantum particles moving in a punctured plane
under the influence of a homogeneous magnetic field and driven by a time-dependent singular
flux tube through the hole.
Keywords: AharonovBohm flux, time-dependent Hamiltonian, quantum Hall effect.
The model under consideration was introduced by physicists in order to understand
the integer quantum all effect and much investigated by mathematical physicists
who introduced topological indices in order to explain the quantization of charge